 | Charles Heber Clark - 1903 - 358 σελίδες
...the adjoining class-room I strove to have the minds of the boys grasp the reasons why the square of the hypothenuse of a rightangled triangle is equal to the sum of the squares of the other two sides, noise of a great uproar came through the door opening into the... | |
 | Alan Sanders - 1903 - 392 σελίδες
...PROPOSITION XI. THEOREM 643. The square described on the hypotenuse of a rightangled triangle is equivalent to the sum of the squares described on the other two sides. Let ABC be a right-angled triangle. To Prove ~Bi? = AJ? + AC* Proof. Describe squares on the three... | |
 | Euclid - 1904 - 488 σελίδες
...fill up the square DC. PROPOSITION 48. THEOREM. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, then the angle contained by these two sides shall be a right angle. BC Let ABC be a triangle ; and... | |
 | John Henry Moore - 1904 - 404 σελίδες
...hypothenuse of a right-angled triangle is the side opposite the right angle. 999. The square formed on the hypothenuse of a right-angled triangle is equal to the sum of the squares formed on the base and perpendicular. Hence, The hypothenuse of a right-angled triangle... | |
 | Jacob Henry Minick, Clement Carrington Gaines - 1904 - 412 σελίδες
...with the base. 438. To find the Hypotenuse. It is seen that the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. Hence. RULE. — Add the square of the lose to the square of tJie perpendicular, and extract the square... | |
 | Alfred Cook - 1904 - 408 σελίδες
...must be true upon the moon ? According to tradition, when Pythagoras had proved that the square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares upon the other two sides, he returned thanks to heaven, making an expensive sacrifice.... | |
 | David Sands Wright - 1906 - 104 σελίδες
...given triangles. 25. Theorem. The square described on the side of a triangle opposite an acute angle is equal to the sum of the squares described on the other two sides diminished by twice the product of one of those sides by the projection of the other side upon it.... | |
 | International Correspondence Schools - 1906 - 634 σελίδες
...Theorem or Pythagoras. — In any right triangle, the square described on the hypotenuse is equivalent to the sum of the squares described on the other two sides. Let ABC, Fig. 38, be a right triangle. Draw an equal triangle in the position C B' C', so that C B'... | |
 | Charles Gardner Wheeler - 1907 - 594 σελίδες
...of the plan of the house by extracting the square root of the sum of the squares of the two sides. (The square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides.) You can measure the diagonal directly from a plan if... | |
 | Clayton Meeker Hamilton - 1908 - 264 σελίδες
...examination of concrete examples. The following sentence, for instance, is devoid of style: "The square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the other two sides": for, although by its content it conveys to the intellect a meaning... | |
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The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. 
